Atkin-Lehner |
2+ 3+ 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
6726a |
Isogeny class |
Conductor |
6726 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
16723257790464 = 212 · 32 · 194 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-23176,1334080] |
[a1,a2,a3,a4,a6] |
j |
1376792330401767817/16723257790464 |
j-invariant |
L |
0.69697079579125 |
L(r)(E,1)/r! |
Ω |
0.69697079579125 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
53808w2 20178n2 127794br2 |
Quadratic twists by: -4 -3 -19 |